$$$\frac{1}{\sqrt{1 - x^{2}}}$$$의 적분

$$$\int \frac{1}{\sqrt{1 - x^{2}}}\, dx$$$을(를) 구하시오.

$$$\frac{1}{\sqrt{1 - x^{2}}}$$$의 적분은 $$$\int{\frac{1}{\sqrt{1 - x^{2}}} d x} = \operatorname{asin}{\left(x \right)}$$$:

$${\color{red}{\int{\frac{1}{\sqrt{1 - x^{2}}} d x}}} = {\color{red}{\operatorname{asin}{\left(x \right)}}}$$

따라서,

$$\int{\frac{1}{\sqrt{1 - x^{2}}} d x} = \operatorname{asin}{\left(x \right)}$$

적분 상수를 추가하세요:

$$\int{\frac{1}{\sqrt{1 - x^{2}}} d x} = \operatorname{asin}{\left(x \right)}+C$$

$$$\int \frac{1}{\sqrt{1 - x^{2}}}\, dx = \operatorname{asin}{\left(x \right)} + C$$$A